56 citations · 122 across the 7 of their papers we have counts for
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nlin.PS2022★ 3 cited
Spatially Extended Dislocations Produced by the Dispersive Swift-Hohenberg Equation
Brenden Balch, Patrick D. Shipman, R. Mark Bradley
Motivated by previous results showing that the addition of a linear dispersive term to the two-dimensional Kuramoto-Sivashinsky equation has a dramatic effect on the pattern format…
nlin.PS2004★ 21 cited
Exact nonstationary solutions to the mean-field equations of motion for two-component Bose-Einstein condensates in periodic potentials
R. Mark Bradley, Bernard Deconinck, J. Nathan Kutz
We study the dynamics of two-component Bose-Einstein condensates in periodic potentials in one dimension. Elliptic potentials which have the sinusoidal optical potential as a speci…
nlin.PS2002★ 14 cited
Electromigration-Induced Propagation of Nonlinear Surface Waves
R. Mark Bradley
Due to the effects of surface electromigration, waves can propagate over the free surface of a current-carrying metallic or semiconducting film of thickness h_0. In this paper, wav…